Roman O. Popovych

13 papers Journal 13
YearRankTypeTitle / Venue / Authors
2026 J jnl
Hidden symmetries, hidden conservation laws and exact solutions of dispersionless Nyzhnyk equation.
Commun. Nonlinear Sci. Numer. Simul.
Oleksandra O. Vinnichenko, Vyacheslav M. Boyko, Roman O. Popovych
2024 J jnl
Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation.
Commun. Nonlinear Sci. Numer. Simul.
Vyacheslav M. Boyko, Roman O. Popovych, Oleksandra O. Vinnichenko
2023 J jnl
Improving physics-informed DeepONets with hard constraints.
CoRR
Rüdiger Brecht, Dmytro R. Popovych, Alex Bihlo, Roman O. Popovych
2022 J jnl
Physics-informed neural networks for the shallow-water equations on the sphere.
J. Comput. Phys.
Alex Bihlo, Roman O. Popovych
2021 J jnl
On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis.
Commun. Nonlinear Sci. Numer. Simul.
Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
2021 J jnl
Physics-informed neural networks for the shallow-water equations on the sphere.
CoRR
Alex Bihlo, Roman O. Popovych
2021 J jnl
Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations.
Appl. Math. Lett.
Roman O. Popovych
2020 J jnl
Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations.
Commun. Nonlinear Sci. Numer. Simul.
Olena O. Vaneeva, Alexander Bihlo, Roman O. Popovych
2020 J jnl
Variational symmetries and conservation laws of the wave equation in one space dimension.
Appl. Math. Lett.
Roman O. Popovych, Alexei F. Cheviakov
2014 J jnl
Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping.
Appl. Math. Comput.
Oleksandr A. Pocheketa, Roman O. Popovych, Olena O. Vaneeva
2012 J jnl
Invariant Discretization Schemes for the Shallow-Water Equations.
SIAM J. Sci. Comput.
Alexander Bihlo, Roman O. Popovych
2008 J jnl
Exact solutions of a remarkable fin equation.
Appl. Math. Lett.
Roman O. Popovych, Christodoulos Sophocleous, Olena O. Vaneeva
2008 J jnl
Group analysis of nonlinear fin equations.
Appl. Math. Lett.
Olena O. Vaneeva, Andrew G. Johnpillai, Roman O. Popovych, Christodoulos Sophocleous